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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Asymptotics of Elliptic and Parabolic Pdes: And Their Applications in Statistical Physics, Computational Neuroscience, and Biophysics

Asymptotics of Elliptic and Parabolic Pdes: And Their Applications in Statistical Physics, Computational Neuroscience, and Biophysics

Holcman, David
Schuss, Zeev

Paperback

Series: Applied Mathematical Sciences, Book 199

General MathematicsPhysics

ISBN10: 3030083195
ISBN13: 9783030083199
Publisher: Springer
Published: Jan 5 2019
Pages: 444
Weight: 1.44
Height: 0.95 Width: 6.14 Depth: 9.21
Language: English
This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences.

In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory.

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